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Consider the initial value problem y + 6y + 34y = 0, y(0) = 1, y(0) = 1 (a) Let y = e . The characteristic equation is 12+

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Page - 2 Now 3 using y(0) = t. Then we get & 300 (A cos 45,0) + B sin (580) ) = 1 A coso & B sino = 1 for A = 1 Now ensing yPage 1 Here given y + byl + 34y= 0 het y = AX The characteristic equation is @ 72 +(Gh + (34) = 0 . a -6 1 62- 4.1.134 2.1 -

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